How can we use the theorem of Pythagoras to prove that a triangle is right-angled?
The theorem of Pythagoras states that the square of the hypotenuse (The longest side) is equal to the sum of the squares of the two shorter sides. This means, that we can add the squares of the two shorter sides and see if it is equal to the square of the hypotenuse. If this is the case, we know the triangle is right-angled, because the theorem of Pythagoras only works for right-angled triangles.
If a jersey with a price tag of $100 is sold at a discount of 20%, how much does the jersey cost now?
This problem can be approached in different ways: Firstly. a discount of 20% means you will be paying 80% of the original price, thus 80% OF $100 = $80 or Calculate the 20% discount first, then subtract it from the original $100: 20% OF $100 = $20 Therefore you will be paying $100 - $20 = $80.
What is the difference between x^3 (x cubed) and 3x (3 times x)?
When we write x^3 (x cubed) it means "x" is multiplied by itself 3 times, i.e. "x" times "x" times "x". However, 3x (3 times x) simply means 3 times "x" i.e. "x" plus "x" plus "x"